{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook contains the code to reproduce part of Supplementary Figure 1 from the manuscript M. D. Luecken, and F. J. Theis \"Best practices in single-cell RNA-seq: a tutorial\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The rpy2.ipython extension is already loaded. To reload it, use:\n",
      "  %reload_ext rpy2.ipython\n"
     ]
    }
   ],
   "source": [
    "import scanpy.api as sc\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "from scipy.io import mmread\n",
    "from scipy.sparse import csr_matrix\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import rcParams\n",
    "import seaborn as sb\n",
    "from maren_codes import combat as c\n",
    "from gprofiler import gprofiler\n",
    "\n",
    "import warnings\n",
    "from rpy2.rinterface import RRuntimeWarning\n",
    "from rpy2.robjects import pandas2ri\n",
    "\n",
    "\n",
    "%load_ext rpy2.ipython"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.rcParams['figure.figsize']=(8,8) #rescale figures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load the data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data is obtained from Klein et al., 2015 via the GEO code GSE65525 (https://www.ncbi.nlm.nih.gov/geo/query/acc.cgi?acc=GSE65525). It contains mouse embryonic stem cells."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Set up data loading\n",
    "\n",
    "#Data files\n",
    "file1 = '../data/Klein15/GSM1599494_ES_d0_main.csv' \n",
    "file2 = '../data/Klein15/GSM1599495_ES_d0_biorep_techrep1.csv' "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "adata = sc.read(file1, cache=True)\n",
    "adata = adata.transpose()\n",
    "adata.obs['sample'] = ['Main']*adata.n_obs\n",
    "adata2 = sc.read(file2, cache=True)\n",
    "adata2 = adata2.transpose()\n",
    "adata2.obs['sample'] = ['Biorep']*adata2.n_obs\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(933, 24175)\n",
      "(2509, 24175)\n"
     ]
    }
   ],
   "source": [
    "print(adata.shape)\n",
    "print(adata2.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "adata = adata.concatenate(adata2, batch_key='sample')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The batches contain different numbers of cells (933 and 2509)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Quality control"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/seaborn/categorical.py:598: FutureWarning: remove_na is deprecated and is a private function. Do not use.\n",
      "  kde_data = remove_na(group_data)\n"
     ]
    },
    {
     "data": {
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fRCJB6QOpyl5KyZp5GEOjqdiwiPjLJxE/6jcoWj2VW75D62fB1VSDz+XA7fOi\n0RuPSnwqt/6Ap9lG9JAJQMv4JABUH46KfKwlB1qTH5/HTeEPc9Fbgs9q8uMzh2LreRW66gPs2b+F\nadOmccMNN3DnnXdisVjOWhxCdBfd+Ue86ByS/JyDiouLefXV19i0aSOqJQx7rwn4AqLOehzOxhry\nF72F3j+EtBsfw15ViH9septjAlP6YivPxedqJnNK26rpEQMup2LjN3gcTQSnDyRqyFWgaLEW76Mx\nfyeOykJMPaOJHnIV+DyEZAwmrPcluBpr8ItMRGtoSfSaa0pRVR8eh5Xi5R8ACtXbl6M1mMi6u2U2\nWVif4fhFJuIXkQC0fJnW7v6RhNGT8PvFYohnjaLgicigMSQJY/FmPv/8c5YtX86Mhx9m5MiR0r0v\nxC/4fL7ODkF0M5L8nEOcTicff/wxH3zwIV4UmhOG4o5q/9WZT1bRD3MBiLn0Rg7NfxmPrYH+j8xC\noz3ysYsafBUByX3w2BowBred2RU97BqsxftwVBYSnD6Q2EtvAqBw6Xvo/UPxT+yNqvqo2PwdPo8b\nW1kuYVmX4PN62PnWDPwiE/GPy2h5fOZx0WvyUxhDYvC6HHhs9fiFJ7S5njkyqfW1o7qIwh/mojMH\n4vN60Rn9SL9pJqbQs7wej86IM/kS3OEZ+ArX8dRTT/H1okX89tFHSUhIOPH5QpwH3G53Z4cguplu\nmfwoijIRmJienn7CY88Xmzdv5sUXX6KsrBR3aArOhKGoBnOnxhSadSl6/xBCew0FVcXbbG2T+Kiq\nj8Il72AMiSJ66MTW7c6GKsrXLSA0aziOykJ05sA27fpczfjcTnbPehxTaAz2ygJQfdTuWUtIzyFo\ntDp0fgE4qopwVBYRfdE1qD4vxqAIUq6+D7e9kebqYqIGXwWAvSIft7WeoLQBOOsrsZXnEtJzKAmX\nT6F84zf47I24nDac9ZVnP/n5+T37R2DLvBp9ZQ7Z27cy9c47mfSb33D77bdjNLbPKtxCdFdOp7Oz\nQxDdTLdMflRV/Rr4etCgQef9Up61tbW88cYbLFu2DPyCsJ9i5fWOZAgMQ/V58TodhPcdgc/roWz9\nQoKS+2IMiQYFanM2YAyOIjClX2vPS2PeTmp2raGpKAdFbyRx3F147E3YKvIISulH8lXTcTZUkfPe\nn7BX5BGUfiHO+gr843ui0ekxBIbRZ/qLOBuqUH0+TCFRqKpK7sJ/0nBgC6nXPtya+Lgaazg0/2Xc\ntnr6PfA6eYvewl6eizEogogLLiesz3Ca6ytQoPWRWKdRNLijeuMJTcZYuJF3332X739Yyu9mPs7A\ngQNPfL4Q3ZzT6WTevHlMnDj2JnDCAAAgAElEQVSR4ODg1u1S10ucKplD2035fD4WLVrEpMmTWbZi\nJc7YATT1vrbLJD7Qsmpz7e4faSraR1PhHmylByn78QtyF73F9n/eh60sj95T/44xOIKc957EXlkI\nQHjfEUQNmYDrcGV2jU5P8cqPOfTFi1RtbymCagyKILjHQPT+ITgbqwhKu4DEMVPaXN8YFIEppGWs\nU1PhHhoObAFFoXjVpzhqWsphlP30FW5bPWF9L0NVVezluejMga2JmEZvwByR0PmJzy+oejPNaSOx\nZ4ynrM7KY489xt/+9jfq6+tPfLIQ3diHH37IlClTeP7559ts/zn5kbFw4mRJ8tMNFRQUMOORR3jh\nhRdo0gRg7X0drriBoOk6HXk+t5PGw1POnXXlHJj3LM66CpKumNb6BeVsqOTg/BcBCOk1FGNQy0KC\nilZHeP/RWOJ6ED10IlqDCa2fPwCVmxZTvWMlAG57E6rXg7OuguaaktZr1+z6keIVH6MeHgTprK+g\nKX83ftEpoKq46ivZ9+FTAEReOJ6Yi68nYfRv0FsCibvsNhLH34WjprRNsdSuyBsUR1Pva3HG9OeH\npcuYNHkyS5YskZkv4pw1ceJEZs6cyZ133tlm+8+PveSzL05W1/nfUpyQy+Xi448/5r3338enaHEk\nX4onvMdZXbPnZGn0RpKunIbOHIjeEkxzTTEBiZkYgyMxhcdhKz1AYEpfSlZ+gn9sD5KuuBt7ZQEa\nnQFTaAzGoHCaq0soLcslfMDlVG35Ho3BD0VvoPD7OVhi00m7/tGW+mEeFxqdAXtFPsUrP8Ftb8BZ\nW0bUkKvQGs2U/bSA2j1rAdCa/PE2W1t7dvwi4vGLOFLLK2rwlVRu+Z7C7/6Dx9GEz+shLOvilhWi\nuyKNDlf8hXhCU/EVrOUf//gH3323hJkzHycuruv0AgrRHiIiIo7q9QFobm7uhGhEdybJTzexc+dO\nnnvueYqKClsGNCcOQ9X7dXZYvyos69LW1ylXP9D62hKdgiU6BYB+D76ORqtD9XrY9+HT6MwBJFw+\nGbetgaQr7sbn9aLVG0i5+n60JjNaowV7eR6msLiWHiRFi9bQch/sFflYi/YSc+mNeF3N5HzwZ/zj\nMqjLWQ9AYGp/wvuNwm2rJzTz4uPG3XAoG4/TRmDaAIp+mIPH3kDMRdd2wB1qPz5zCLZeE9BX5bBt\n5xamTp3KnXfeyS233CJFH8U5z2aztbyQnh9xkuRbsYtrampi9uzZLFy48HAR0rF4g7vO+JNfU7Nn\nLT5XMxEDLgegYtNiGg5lE9bvMvxjMzAGR7TO/lK0OqKHTkBr8qd4xUe4GqrpP+NtXI3VlK1bQNSg\nK1uLmlZu/Z6y9QuIueQGKjYsInLgOCIvHEd4v5FYYtKxledS9uN/AAW/8HgaTRa8zTb05iCCUvqi\naNt+7J31lTQW7Ca87wgUjZaQzItw1JbSmLcTY2gMQeltV6XushQFd2QmnuBETIXrmDVrFj8sXcof\nfv/7Dq+qLURnamhoAMDjkSnv4uRI8tNFqarKihUreO2f/6S+vh5XVBbOuIEdUoS0oxSv+ARvs5Xw\nfqNQNBrs5XlYSw9iLd5HYEo/0m98nKptyylb9xU9bvo9MRdfj8feROXm7whMvwCtwUTl5iXU7FqN\nOTIJc1QyWpMFR2UBHlsD9Qe24LbW47Y3tF7TLyIej6MJU1gs8aMnE5jUG63JTPn6RdTsWk1gaj9C\nMtqu1lz205fU7vkJY2A4AYmZlP/0FR5rPVqjhbCs4a3lNroL1WDBkT4GXV0++UUbuO/++7n+uuu4\n++678ff37+zwhGh3NTU1ANTV1aGqqgx8FickyU8XVFpayssvv8KmTRvxWcJxZE7EZwnv7LBOmc5k\nRqs3oBwuzJl01XRCi4ZTs30lEReMAY7U9vJ5W36xuWz1uBqrcTXVUPjDXGIuvg5LbBqG4Eh2znqM\nkIzB9JrydEsZiqgkFK3+SImKwwISM+l95z9a//aLTMJtrUXR6glM7ouzvpKKTYuJGjKBgu9m426q\nJebSm6jZs7alAOvF11Gzcw3N1UVYYlLP0t1qf56QZBoDYzEWb+XLL79kxcpVPPrIDC677DL5z0Gc\nU8rKygBodrpoaGhoMw1eiGOR2V5diNPpZM6cOUyZcgebt2bTnDgUW+bV3TLxgZZ1fgxBR2LXaHWU\n/fgF9Qc2Yzg8syt6yAQGPDKrdQyQtWgvIZkXo+iM2MoOYQgMI7zfSPSWIPzjMrDEpqPR6mjM3cau\n2TOxledRu+enX53lUb1tOShaLLFpaA0m6vdvpnr7choObUXRaNHoTUQOugJbyQFQFKq3LcfdVIs5\ntgeKTk/h93NoLNjdsTero2gNOJOGYcucSJ1L4c9//jOPPz6TgoKCzo5MiHZTWlKESdvyHVBaWnpS\n57hcLvbu3cvOnTtZt25dR4YnuiDp+ekCVFVl7dq1vPbaP6msrMAdmoozYTCqoXsXsexx8+9bX/9c\nWyt2+M00V5e0zOaqLaPwh3eJuehaAhIz8TrtFC//CJ05AK3eQMKoSa3n60wWMm7939a/FY0WRauj\nYv3XNObvQGcJRtFo8ItMomjpuwSlDSC01zAAGnK3ofWz4LY1kLfoLZLG340hKIKgtP5EDhxH+YZv\nqM7+Aa/Tjl9EIsbgCLxOBxq9gf2f/gO8HrxuJ4FJRxdm7S58/hFYMye2rBC9I5u77rqLW265hcmT\nJ2M2d+5K4EKcCZfLRWVVDYPCXWyqMlJaWkrv3r1PeN7vf/97Xn31VaKioqipqcFqtR53tfTx48ej\n1Wr59ttv2zt80Ukk+elk+fn5/PP119myeTOqOQRHzyvxBnZOCYWOYK8sxOd2Ur9/M5VblqCzBNLr\nN3/C02wj96vXaK4tpTYkioDETLRGM2k3Poa1MIeKTd9Stn4hsfqbsESn4PO4aczfSfX2FSRPuI+4\nEbcQN+KWw71DoRQtex9nbSkhPYdSt28Dbms9wekD0egMZE55Gp/HzcHPnmuZFq83tFZpL1z2PtXb\nlqEzB5I17QU0On3rtPay9QsxhycQPWwi/vE9O/M2to/WFaJTMBZv5uOPP+a7JUu4/777GDNmDBqN\ndASL7qeiogJVVckKdbcmPydj9OjR5OTkMH78eDwez6+WiSksLMTn81FUVCQ19c4Rkvx0ksbGRubO\nnctXX32FqtG3FCGNzIRz6D+ghtztHJr/EgDBGYNRdDq8Tgeqz4vH3khzbcuXVN3e9fiFxxM5cCxB\nKf0ISMikYvNimgp2URMcgbupltwF/0TrZ8HrsFK1bRkxw64BwBKTRkPudpy1pZjC46jbtwFjWCzW\nor2Urvmc+FG3YwgMA6DPvS2xuG0N2MvzCEobQOOhbWgNJtJumInO1LanLWbYNa3XOZeoej+aU4bj\niuiJr2gDf//73/nii/nMmPEwWVndt3dLnJ/Ky8sBiDV7CTYprX+fyDXXXMM115zcv++dO3cSERHB\n4MGDT7p90bVJ8nOWeTweFi5cyH/emYPNZsUV3hNX3AVdfs2eU1V/cCvl67/GEBSOMSgSj8OK6nGT\nOeWvVGUvxT8+g5hLbqAhbyduay3Fyz8guMeFGAJCUbQ6FI0W1evDEtsDrdGM3j+Y4IzBuG0NOOur\nOPDZsyRPeAC9OYDooVcTkNALS1wPKjd/hyksvmVmV0q/1nhUnxev24lGo6N45cfU7V1Hj1v/SNqN\nj5Pz/p/IX/QmWXc/c9T7aMzbiSkstjWBOpf4/COx9boaXc1B9udt4cEHH2TMmDFMnz6dyMjIzg5P\niJNSUVEBQJjJR5jRTWVlRbtfQ6fTMW3aNPT67jPbVvw6SX7OElVVWb9+PW+8+SbFRUV4A2No7n05\nPnNoZ4fWIWwlB7CX55J+8+8JTMrCZa3DWVuOotdTuWUJjqoioi+6Fo1Wj39iL1wNNRgCWu6Foiik\n3/g4jfk7Ce19MYqikHzVvRyY9wyRF15BY8EumquLOfjZs2Te8Vc0OgMBiS3P+H+uDh/8i7V5fB43\nBz57FlvJQRS9kcgLxxHWfzTmqBSspQdQPS5UrweA/MWzsZXsp9eUp1vKb3zxAoEp/Um/8bGzfAfP\nEkXBE96DxpBkDGXbWbp8BatWr+Z/bruN2267TcYDiS6vqqoKBQgx+gg1eCkvLzvlNpqbm+nTpw/9\n+vVj/vz5xzzmueeeO8NIRVciyc9ZkJuby+uvv8HWrVtaKq/3GIM3KKFLlqVoL7HDbyKs32WYQqIB\nqNiwiOqdq8m846+kXvcoXpeDsrXzsRbvo/ed/2gdg/OzgMRMAhIzW/9uKYsRT+3edaRc8yBV2csw\nHi5a+ktuWz1akz/537yNo6qQ8P6XU7LqE7QmC6CiupupWL8QS1wP3E016C2BxI64lYgBowBQvW58\nHjeoKqbQWCIHXdmtBzqfNK0eV/wg3BG9MBZv4r333mPh14u4d/o0xo8fL+OBRLsrLi7m888/Z/r0\n6WeUZJeXlxNsAq/PR5jJx/byqtNa60ej0cjn/DwiyU8Hamxs5J133mHBggWgMxwe19MLNNrODq3D\nKRot3mY79vI8zNEp6P1DMASG0Zi/E2vhXuoPbCb2stsI7z8KU1jsCdtzVBURkjGIsp8WoHrc+FwO\nqrctI2rQFTiqiylZ8RGRg66kYPEsQnoNBVVF9fnQmSzoLUF4mm1o9EZCeg7GUVOGreQAFZsXYy/P\nw1FVRFjWJWh0BpIn3I/P5QBFg0arI37kbWfhbnUdqtGf5rRRuKKy8BVt5Nlnn+XLr77ikRkzZDyQ\naFf/+Mc/ePPNNwkPD2fSpEknPuE4ysrKKC3MJ2tpITMn9MTl9qO2tpawsJN/VG0ymdi/f/9pxyC6\nH0l+OoDH42HRokXM/vd/Wsb1RPTCGXcB6EydHdpZtf+Tv6H6fGTc9v+IHno1QakD2Pvu/+EXmURw\nxhBKV88jLOtSQjMvOub5qtcDioK9Ip9DX75McI9B9H/4LbRGP2r3rsPnambXv3+H6naiej3YKgqw\nxKbjdTkxRyaQeu3DAIT1uZTcha+j8/MncexUVK+Hyq0/YAyJxi8qBdXtRGs0s2v2TAxBETRXl2AI\nDCVzytNn83Z1KS3jgSagqznEgfyW8UBjx47l3nvvJTy8e647JboOp9PJJ598Qnx8PNdff/0ZtVVc\nWEBkgIYIfx2x/kBDS6/SqSQ/4vwjyU87y8nJ4bnnnyf30KFzflzPr8n9+k1AAdWHo6oI/7gemMJj\niR1xC/6x6RhDY3Bba/GLTKQuZwOVW5cSmnUJ/nHp5C58neghEyjf8DWKVk+vSX8ictCVBKX2R2ts\nGRgeeeE46vauw9d8uKChVk/trtX0vvPv5Lz3JI35O4m+6FoURUNjwW4SLp+C3hIItNQRq8vZgL0i\nD4Dedz2LrfQgekswjuoSfE4bfhEDWt9L2U9f4nW7iL/s1rN6DzudouAJT6cxJAlD2XZ+WLac1avX\nMG3aPVx//fVoted+D6boGHq9nosvvpikpCQsltNfz8xqtVJb38DNWWG8McFClUPD5yUtU9P79+/f\njhGLc40kP+3E4XAwZ84cPvvsM9D74UgbhSck+Zwe1/Nrmgp2oXrdJIydSkT/lvE0iqIhesiE1mNC\ne1+COTKRun0bsJXux1a6n+ihE3HWVeBqrMYYFImi1aLRGYi77FYa83fidTrQGv0wRybRf8a/KFu3\ngIpN3wAqilaLomjocesfUb0eFEWDrewQBz97juCeQ0id+GDrtb1Oe8sLRUP5xkXU7lpD7IhbKV39\nKQAee2PrsdU7VuJ1NRM34pbzsyzEz+OBwjPwFq7n9ddf54cflvKHP/ye1NTuW/5DdB6NRsPXX399\nxu0UFhYCEGvxAi0zvgzaI9uFOB4Z3dUOtmzZwh13TGXevHk4wzNozLoeT2jKeZv4AGRO/RsJY6dS\nu2cttrJDR+1vriunaOm7FK/8mLgRt5J240zC+48m4oIx9H/4TWIuvh6f142rqQ6AhkPZHPriRUrX\nftHahkanJ274TSSMnQpeD4ljp6IzB2AKjcYvIh63rR6v24nOL6BNJffKLUtQVS9avyAAzNEpLdPo\nm+qwxPXEGBKNKSyOwqXvUbLmc3re/iSZU54+PxOfX1BNgdh7jMWRehn78wq4555p/Pvf/8bj8XR2\naKIL+8tf/kJycjLFxcWn3caGDRt4+umncbvbVm3/uc1Yc0vyo1Eg2uw7YfLz3nvvsWnTpmPu27Zt\nG3PmzKGyspLc3NzTjll0bZL8nAGv18vcuXN5fOZMKpuc2HtdhTP5EtAdf6XQ84XBPwRFUbCVHMBR\nVdRmn7Ohij3/+V+0Jn/iR0/iwGfPUf7TlySOvQO9fzBagx9NhXtbel9UH6qqYolNJ6zvZQQm98HZ\nUAW0zOza9a/HKF/7JXr/kDbr+jQV7mXnW49wcN6zeFwO6vauo2TN5wA015bjttYTNeRKUH246qsI\n6zuCquzvARXV68EYFk3t7rXU5axD5xeAMVjWvQFaHoWFpdGYdT3OkBQ++OADZjzyCFVVVZ0dmeii\n6uvrqampweVyndJ533zzDaNHjyYvL49nnnmGJ598ks2bN7c5pqSkBAWI8PO1bosyuSkrOX6ilZ+f\nzx133MGDDz54zP2PPvood911FyNGjCArK4umpqZTilt0D/LY6zTV19fz9F//ypbNm3GHpdGcdDFo\nZQGsX/KP70mvKX/FHHlkOXjV66Hg+7mAitdpay1doXrdLY+qDvfQ5H39Bp5mGxf89j8oioLeHEji\nuKns/vfv8dibiLnkOpz11XhdDnTmQHTmQBTlSC6vqke+DFMmPkzR9/+hYtO3aI1mEsZMJm7Ezfjc\nLpqri6nbv5HqHSsJ6zuCml0/guqj6Pu5GIOj0JkD2TXrMbKmvYDWcH4NWP9VOhPNqSPwBMWzN2ct\nd919N3968kkGDRrU2ZGJLuall17i+eefP+UxYmvXrmXFihXs378fr9fL0KFDGTZsWJtjKisrCTaB\n7hc/40NNPnZUHn+6e3JyMm+//TZ9+vQ55nWfffZZNm3ahNVqZenSpdxyyy3MnTuXqKijl9YQ3Zck\nP6ehpKSEGY88Sm1tLc3Jl+AOzzivH3Edi630IPs+eprw/qNIHDsVAEdVMQfnv4S7qQYUDeF9RwDQ\na9KfODDvWXbNepyse55HozeAoqDz80fRaPC6HFTvWE3Jqk8whccRltqfquxluG319HvoTbSHa3HV\n7FmLq6GayIFjCUzKIuLCcdiKDxCYmEnMJddT9MO7VG5eTNm6r4gbcQuRF4whYsBoanf/CIoGU3gC\nilZH4hX30FxZgDEkGnt5Lqi+No/NxBGesFSs5lB8uSuY+bvf8dtHH+Xaa6/t7LBEF3M6g+P/8pe/\nMHXqVDIyMnjwwQdxu91HJTO1tbUE6b1ttgUbfDidLux2+3EHU997773Hve7QoUMZOnQoAAUFBbz9\n9tscOnRIkp9zjHyjn6KysrKWxKehCWuvCfgsMu33WAxBkQSm9GtdeRnA02zFba3FHJNGWJ/hRPQf\nhbO+kppdq9H6BaD3D6Zo+YeE9BzcWkjU53Zy8LPnsZXnweHenJBew4i8cDw+t6s18QEoX/81ztpy\nytbOxy8iEa/biau+AtXnIaL/aLRGC+6mWkpWz6N42fsY/EMoWPIf0OjA56FkxYcAVKz7Co3eRNyI\nW+BwgiaOz+cXjLXX1fjlruTll19Gq9Vy9dVXd3ZYopvT6XRkZGQAsH379mMeU19XS8B/JT+BBhWA\nhoaGU55JNmbMGLxeLytWrADg5ZdfZsaMGWRmZp7gTNHdSPJzCiorK3nk0d9SW9+INeMKfBZZR+J4\n9JZA0m98vM22gIRe9H/oTbTGI6u5Vu9YScXGb0gcfzd+YePY99HT+FwOUq95CIADnz2HrSKfgKQs\nQjOHUbB4NmVr5xOadSmhmUe6wN22BlKveQhryQGKl3+Ao6aYtGtntAx4PlywNLRXy685v8hEytcv\nxBQWR+wlN+Lzuij9cT6qxwU6Ax67FZ+3jubackyh0R19q84NWj2OtNGYDy7jhRdfRK/XM378+M6O\nSnQR2dnZrFu3jvvvv/+0Jg4cL4nJyckhUq0Fjgw58Ne3/EhqbGwkNvbEC6j+UnV1NV7vkWTKZDJJ\n4nOOkuTnJKmqyt/+9jeqamqx9hgvic8JlP44H1dTDVFDrib3q1fwi0gk8sJxWGLSqNu3kZKVn7Ss\n+ROXgeZiA16nDRWFuJG3YY5OY/8nfyP6ouvwT+iFotGReu1DaHQGFI2WhtztFCyehUZnaFmxubqY\nve8+gTE0mrjhN6N6PYT2GU5Q2gVHxfXzqs8RF4zFWVdOxAWXt24vXT2PgLh0mgr2AC2P0eIuvfGs\n3rduTaPFnj4a84GlPPfcc/Tq1YukpKTOjkp0AX/84x9ZsmQJw4YNY+DAgad07q233srBgwdZv359\nm8Kiqqry07r1eL0eLgiKYdKQlu/kn3t+amtrTznO7OzsUz5HdE+S/JykpUuXsn37dpqTLsbnH9HZ\n4XR5tTnrcDfWYAqNxVlXjrOunPr9G4kfPQlFUXBZaylZ+TFueyNBqf1pOJSN1mTB63KQMuE+rMX7\nsZbsJ3LgOGKGXYPq9XBw/stodDossT0wBIQSmJyFs76Cik2LAQVnTSm1+zYQmNyX4LQBx4yrYtNi\nStfMA0Bj8GPAjLcBCErpR83OVegDwlvKj/i8VKxfSFjWpZiOUUNMHIdGhyP1MnS75vPKK6/y0ksv\nnvdLBAh45plnuO6667jggqN/kJxITU0NNTU1qKraZnt9fT0ZGRnk7N3DW2urW5OfMGNLz015efkp\nX0s+q+cPmep+Eux2O6+/8QY+/wjcERmdHU634B/bA9XnpWLLd5hj0lC0OvyiUqjevoLGvF1k3vUM\ncZfdSuylNxE7/CbiR0/CGBoLPhVTeAK973qWhkPb2DV7JvbKQnweN9biHOoPbKV09Txih9+M1mim\nKntZy4BlteULz1q4l/SbZhLco2XWker1ULziI+oPtEyR9U/oiT4gDI3eSMKYKa3x+kUk4HFYqd+/\nEb0lBACtXwA1u388y3eu+1P1fjhiLyA7eysrV67s7HBEFzBgwADuu+++00ouli5dSm5uLgaDoc32\nQ4cOERERwUu3ZvDupOTW7UEGFX+DwsGDB0/pOlVVVaSnp/PHP/7xlGMU3Y/0/JyEjRs30lBfT3PP\nK0GRfPFkxI+6HXN0CiWrPkEFVJ+XsD6XULzsA5prSlBVb5sxQX7h8ShaHRqtloZD2whMysI/LgOP\nrYGc954g/aaZ9LnnBawlB0Bp6VkqWTkPS1QSQekDaTi4FYDkq9rO4nA2VlO5ZQmOqiKCewzCPzad\nvve+1Lq//lA2xqAI/MLjybj1/6Hio3rbcqq3r8DbbKNm+wrq9vxE8lXTWwdhixNzR/bCVLmHxYsX\nM2rUqM4OR3Rzx6q2vm3bNjQKjEs3YtEf6RVSFEgLcLJ929ZTqu7ucrmorq6mpqamdZvP55NK7+eo\nbpn8KIoyEZiYnp5+Vq63ZcsWFJ0Bb4A8/jhZOj9/IgeOxed1U7rqU3T+IQSl9MeRVUDtvvUYwxOO\nOiei/ygsMWnkvPcETUlZpF7zMFVbf0DRGTCGRKMzB9BYsBN3Uz0Nh1qSHVuFD4+tAUNwFDqThYD/\nSlBMIdH0uPWPGIMj8Xk95C96C3NUMtHDJuJqrCH3y1cwhsbSa9Kf8IuIx+dxYwqNJfGKezCFxmAr\nOUDJqk9w22Whs1OiaHAFxrFt23bcbnebsRpCnClVVZnzzn+INjjaJD4/GxDm4t395eTm5pKWlnbC\nthRFIS4ujpqamtZp+Xa7nYyMDAYMGMCiRYs65H2IztMtU1pVVb9WVXV6UFDQWbneps1bcPlHS6/P\nKbJX5FG6qqVWliUmFUNQBLX7NqB63FRt+obK7KWovrbTVP0iEkgYM4W4Ebf8/+ydZ2AU5fq3r+19\ns2mbXglJCARCB1Ep0gVRQRRRj4iCHHyVY+8Kdo+iWLEg6hELFkRRQBBEkN4JhJCEJKTX3WR7nffD\nYjQCCv5VQOf6YsjOPHPvE2f3nrv8bmQqDfHnTSBlxHWowqIJ+r007l5DS8lOlMZownPOIePSW0ke\nPoUu1z9N0pDJBIUgR75ZSN22rxGEIH6XHUNSNkpDBEGvm5bSvbSW7cXVWEXA6yayy0A8zdVUrfsI\nj7UBy8EtVK5dhKOqCE9TNeHZfel282uEZ4rifadKwBiP1+uhoKDgdJsicoayatWqY0ZR7N+/H7PZ\nzLx58wBYs2YNw4YNa5fGWrp0KRs3bWbfweOntvrEeFHI4PPPP//V6z/66KPo9Xry8/OB9npEUqmU\nyMhIcTr835SzMvLzV2O1WhGMqafbjLMOqeJHRWQJUV0HseeFG1GGRSFTaZHK5CGtHUMEpoyfuj8k\nEgnReaEOrPqdq5DI5ER06o/bUosqLJrYcy5BplAR03sUfqeNwg8eITy7P80Ht1C27BXMvUfTlL8e\nmVpHa/l+bGX5JAy6El1cOvXbV5Bx6a1oY1PZN38WEpmc2H4XIdca8dqb2b/wbjSRCSQMvAKZUkP5\nygVEdjmflJFTT8Punf0EVXogdP+IiPySgoIChg8fTk5ODu+8806bOrjf78dut+NyuQBYv349q1ev\nZt++fWRkZCAIAmu+XU1up47c3y9w3LUNCoFzY9ws//prrrzySuLi4o57nEajwWAwHDcyqVarT6gv\nJHL2Izo/J4MgAGIXwKmijogjtt9YnHXlqExmZCoNEdn9iOs/DldDJZbCrRiSO5/w/JqNSxD8Pry2\nZhp2rCS6x3CShkwOvbZpKa2l+/BY6rAc3Exc/4sB8Dtb0CVkYq8owO8ITWav+u59NDGpuI7qBRmS\nOxHbZwye1iYadq3G72yl9fAejGl5CEE/kbnnI5XJ8dothGf2/vM36m9L6J75ZZeOiAhARkYG119/\nPW+++SazZs1iw4ZQc13YAFIAACAASURBVEG3bt249dZbWbBgAVOmTOG+++5j/PjxbeMo1q1bx959\n+dx6npF+CZ4Trj8u1cWGOjXz57/K7NlzjnvMbbfdxm233Xbc10T+3ojOz0kjfoD/HuLPndD2c+6N\nz7f9rIlOxG2to+XwLiKy++GzWzn43sOEZ/dDG5OCPiGTjpffDcEg1RtCk9zVEaGnN5+jlYZdqwl4\nXIR16E5kt0FoIuLQxnXAZ7diry5GIpPT4eJbCPg81Gz6HKlcSUzvUYRn9QEgtt9YDrx1D15rPSkX\nzkBtiqa1dC81Gz/HUrCJ6O5DiR9wCT6HlcNLXySq2yCMqbl/3cb9LQjdM6LzI/JLli1bxltvvcX8\n+fPp2bMneXntpSkaGxupq6vD6/Uil8vbHB+bzcYL854nxRBkYNyJHR8Izfgal+Lkk3Xf88MPPzBg\nwIDfZetTTz3FokWLWLVqlTji4m+E6PycBFHR0dhs9tNtxlmL3+2gesNnyLV6InPOQWUKfYCULn0R\nEFBFJCCVSgj6vXis9dRvX44pqy+mDt2p27GSqK6DSRp6DaqwaAJeN0e+eQu/s5Xo7kNJuuBq7FVF\nBNxOsic/SNnyN5BKpagj45FpdCjDogjP7E3ply8jVaiIyA6pQguCQPzAywm47UQeVYpWhkUjU2kJ\n69Adt6UWdXgsrsYqrEXbUehNovNzikg8DgDMZvNptkTkTGPZsmUsWbKE+Ph4HnnkEcLCwrjvvvvI\nzs7m6quvZv78+bz44ovHpKOee+45rFYrs3q1IjuJEszRyS62NKh55r9P07nzO5hMppOy78iRI2ze\nvJnLLruMw4cPU1RUhN1uF52fvxGi83MSpKYkU7lzP+7TbchZSsvhPTTuXg2Ao/IQQb8Pd3MNUoWK\noM/NofceQhOTSrebXsFycCstxTuQyuSUfR0SIKxYVUrujFDxo+XQdlpKdmFIziFuwKUIQpCixU8i\nU2roOvMlUkfdAKNuaHf9sA55JAyahKljT/wuO15bE9aindRu/oLMSfe1rWs5uBl1RBz7F9yFEAyQ\nNGQyhtRcsiY/hCYq4S/csb8HUncLAElJx3b2ifyzmTt3LsFgkJdffpm3336b4cOHs3TpUnJzc7n6\n6qsBjnF8vv32W9asWcOlaU5SDcev9fklH+9spuFwFd7oLjz99NM89thjJ2x9dzqdTJ06laFDh7Jy\n5Uo+/vhj8vPz+eCDD5gzZ85vdo2JnF2Izs9JkJycDD9shGAgpP4rckpYS3YDENHpHFRR8dSs/wSJ\nTEFE5wGoTGacdWVozaExCJqYZPRJnYjoPACFPjzUFm+IRKbU4nfaqPz2XdRRiaSMntY2syth4BXI\nFKq26zlqSmjc+z0QJHnYlFDKq9dIAPYvuBOPpY6I3IHINTpkytCcsZbinVgPbSM8ux8IQXTxGVR8\n+z/0CVnEnTeeoN+H9GfXEPltZG4rxrAwDAbD6TZF5AxDq9Uye/Zs4uPj+eijj0hOTmblypWkpaWx\ndu3atkLojRs3otPpqK2t5dlnniEjLMDYFNdJX+fL/S1sLnPwSG4LKzduZNmyZYwdO/a4x9bW1rJ4\n8WJaW1u5//77yczMpKysDJvNxrZt2/6oty5yhiA6PydBZmYmCEGkzmZxtMUpEvC6sJfvR2mMwtxn\nNNroJEwduqOOiEdyHPEwdXgsYR3yOLz0RYRggKxJ96GNST36qoA2JhV9YhZKfTh121dgrywkaeg1\nSH823b102at4WxpAKiPh/MuRa/Rtr0mVapBI8Vhq8DttCAEvAElDr8HcawRacwpC4AaQSChb8SaW\nAxsp+vBx1NFJdLpmDhJR7uCkkTsbye6SfbrNEDlDiYuLo2fPnuzatQuj0cjw4cOZNm0aV155JRBq\neW9ubkaj0fDUk08S9Lm4Me/46a43NjYSrZdzcdf2aa1XLkuiweGnQ1SQSq+Pl196kZ49exIfH09J\nSQktLS1ts8bS09PZsWMHMpmM3Nxc+vfvj8/n4+qrr2bYsGF/+n6I/LWIzs9J8ONUX5mjQXR+TgF3\ncy21m78IaflIJBx89wE6Xfs4mqjEdsf57FZKljxPZJfziO5+AX6XnaDXjUQmx2uz4KwrI7LL+UgV\nKjKvuJfmg5tpObwHW1k+tooCDv7vYSRSKbnTn6Nq/cdoY9MJz+6Ht7URv8vezvnJmvQAQa8bv9uO\ns7a0zbGSKdVt0SeJLHRbqExmkMqQypW4GypwN9WI6a+TJeBF4rSQkyNOxBb5CZ/Ph91uR6PRIJfL\nWb58OV988QXdunVDKpXy9ttvk5mZSWpqKtdccw1JSUksXbqUXbt3MyXLjlkTPGZNpzfI49/UkmBS\nHOP8mLRyTNrQ/Xx9tp27t8iYMGECr7/+OuPHj6e0tJTm5masVis9evRApVJRWVnJ8uXLaW1tZf78\n+bz33nt/yd6I/LWIzs9JYDabCTOF43M04Dvdxpwl2KuKOPTBo0iVGqRyJbF9x9C4dx0F7zxAyvBr\niexyXtuxfrcdZ8MRtI2VAER3v4C6LcsQAn4adq/GVpaPMiwaQ3IOQjBA2bL5KHRh5Ex9ioDbQc3G\nzxGE0Idiw67VgJTEgROp2/IlKpMZ66HtKA0RZEy4HalcgVSuQK41oI6Iw9VYiToyoa0OQAj4KVn6\nAprIBDwt9RAMkjziOiQgOj6ngMzRCPz04CAiAnDFFVewYsUKNBoN3bp1Y9myZdx444107dqViRMn\n4vV6efDBBykuLmb+/Pn8+9//5rX58+kc4WNQ/PG7u176voGLcsOYPiDqV68dqQ7SVV3DM2uKmTVr\nFrfeeisVFRXo9fo2LSq1OqRNVl1dze7du1m7di2DBg1i3rx5jBo16o/dDJHTiuj8nAQSiYQunXP4\nYWe+WPR8kqjCojGkdiGiU3+sRTtp2LWaxEFXUrJ0HjUbPycY8BOe1Qe5WocmKpGuM15ApgrV3yj1\n4cT0GYWlcDvmHiMwJGZTvvItlIYIsibdR+rYmciUKmRKNTKlmpSRUwl4XRz55m2EgB8h4EcVmUDa\n2JmozSlYCrciHEeqoCl/A+Ur3iBx8GTMPYcDEAz4sFcW4ne2Hm3RFtCEx6Exi0W7p4LM0QCIzo9I\ne/Ly8qitraW5uZlNmzaxevXqthqcH9vZFy9ezJo1a0hLS+ONN97A63FxTTc7JxrRtWh7M1IJ3D00\nlhs/OsJ5HfQ02v1E6mQs2m7h9SuSSQoPpcWn91SxqTIDCXD11Vej1YY+cxITE6msrEQQBA4dOkRu\nbi4+n48uXbowffp0XnvtNfr373/S3WIiZz5iAcNJ0qlTJ3C1gP/XtSVEQij0JjpOuAOJTI6rvgy/\n24kuoSOZk+7Da7dgKdjE3pf+jbVkFxCaBfbzGqCE8y+nyw3/JSy9KzF9L0ShC0MileFqrMR6aCtl\nX83HenSYaePe79jz4r9p3LsWIeBHn5iFLjYNbWw6B9+5H1WYmY4T7jjGxlBxdTbauHSEYBCPtR6Z\nUgNSOc66MoL+UJzPenSOmMjJI7U3EhsXj9FoPN2miJxBPPDAA/zwww88/fTTeDweWlpa2l7zer1M\nmTKFd955hzFjxqDRaFi5cgXDElw0WBy0uEIdXg5PgJUFrfgDoQeaZdM78OX0DuytdrH8QCtvbGxk\n7tp6tpY7Kax3Y3X91BmmlEt4ZJgen9/PY489xscffwyEpC+ys7Pp168fubkhSQuFQsG0adO45557\nWLp0KQsXLvyrtknkL0CM/Jwk2dmhwk2Zo5FAmJj++C2CPg8HFt5LwOsi4HbQYXzI+VCHx9J1xgvY\nqw7hc7Sg0P72fDaJRErWFfey+4XpFH/yDKajc7YOfz6PjAl3IJUrkau1RHW7gIjOA1CHx+C21FHw\n9n3ItUZ08ce2qB7838NI5Aqyjra6V//wGbWblpIx/nYiMnvTuO87PE1VGFK6ENVVnEp+qihdjXTu\n2e90myFyhjJ27FjcbndbO7vb7eb666/nww8/pKSkhBkzZrBgwZto5JChbmLs6yWM7GTgtStSmP9D\nIy+sa+CZixO4rHt4W1Qn0aTks+vT0SkkrCq08e9zo5gzOo5amx+nN4hWKaXJ4Ucr+OhjVjNv3jwc\nDgcNDQ1ERUURExNDQ0MDd999NwsXLmTTpk2kp6cza9Ys7HY77777Lrm5uQwdOvR0bp3IH4To/Jwk\nmZmZAMicTaLzc1JIkMhkqMJjcdaU0Lx/PVXfLSLgdZM7/blQu3nnAeji0tud5XO2Ur78TSI7D8CU\n1Ye6bV/TXLAZdWQ86qgkvNY6oroOxpTRk6b879GaU5BrDUTknNNuHalcgdIQTmTuQGL7jjnGOoEg\nEiFIwOuitWw/WnMquoRMlCYzycOvJbrHMOp2rCC292gUOjF6cSpIfC4Ej4OsrKzTbYrIGczPdXzK\nyspYtGgR559/Pp9++il79uxhzZq1TMoOsLM8JDAbfrRweWyXMBrtfs7voD9mzZ5JWp5cVcurGxrp\naFYTa5Az7o3DXJZn4plLErnsrVLqbD6WzezMyg4d6NKlC1FRoVqhgQMH8tRTT1FYWIjb7SYQCEWM\nzGYzAwcO5MUXX+TSSy8lPz8/JH8iclYjpr1OEqPRSHS0Gamz6XSbctagCjNjTO1C0tBrjgoSgs/W\njL3yEHXbvg4VNf9i9IG3pYHW0j3UbV/B7udvoLV0L+6GI1gPbsZVV0rA48JeWYhMrSV19HTk2p80\nZARBIOgLta4rDRF0vv6/x3V8ADpdPYesKx+g5ocllH7xIvbKg2RNug+vtZ7SZa+i0IWROmJq20gN\nkZPnx3ukY8eOp9kSkbOFhoYGpkyZwqJFi4iKimLixIls2bKFTroWBnTQc36Gjqt7RwCQaVYze3Qc\nj6+qZcGmxnbrlDV5eHNjI3FGOTkxapy+IEMzDQzJMrC5zIHdE+CcNB2pxiBjOmlpqK+noSFUnzZh\nwgS6du3KLbfcwuOPP86SJUva1h0/fjw33ngjUqmUYPDYjjORsw/R+TkFsrIyUbiaT7cZZwUBnxt7\nZSGOmhKi8y5AZTIT2flcVJHxBAM+Mi+/h6wrHzxGbVUX14Gsq2bjaQ19gSYMvIKkYVMwJHdGGRZN\n3MDLqfj2XQ4vfZGA19Pm7ABUrl3EnpdnUr9zFQ17v8NRU0LQ78VyaBtBv5fj8WOru9cWup6laBuW\ng5txNVTgaqjgyKp3KF+x4E/Yob8vMkdoLzMyMk6zJSJnC3PnzmXhwoVUVVWxceNGfD4f2XEG4owy\ncmLUHG70MvndMuasqAGg1R3k6/2trChobbeOTiWjQ7SKa/tGUtPqY9LbZcQY5YzOCeNgnZs6m5/B\nHQ3U2/xcmuYkEPCxYEHo/i4qKmLv3r1s2rSJOXPm8NBDD7V7OHv11VexWq2kpqb+Zfsi8uchpr1O\ngczMzNDkYb8XfiaqJ3IsCq2RztOeRaZQ43c7KFnyHI6qIpBKKf74aTpOvBtD8vE7gdThMUgkYEzv\nii42DV1sGs371+NtaUAfk4pUpkQbm8aBt+4CiZSOE25HHRmPQheO0hBB9YZPCHo9gIC510jqt68g\nYdCkNpXnnxORcw6q8Ji2CE/ioElEdjkfe9Uhqtd9hFShRipXIAjCCWXxRdojdTYRExsrKjuLnDS5\nubkYDAby8vLo0qUz5WVlLJ/RAaM6pKgfH6Zga7mTBZuauGWgmSi9nNU3ZWDStP8Ki9bLWfnvUMSx\nyeFnZCcjF2SG/j+8tm8kF2QamLKonMe/qeXDKWlobRa+/vprxowZw6RJk2hoaODLL79k0aJFRERE\niPf83xgx8nMK/FjDIBNTX7+J32XHWXMYiVxB077vcVQVIZWrUBmjkan1KI2RJzxXptKQe+PzdBh3\nMxBKZ0XnXUD6pf9BoQsDqbRNKNFna6L8m7cAiO17IZ2nPkX6uJuJ7TcWQ2ouloPb0ESnIBwNVZcu\ne5XCDx4lGPipA8Tb2kz+G7djqziITKlBIpFQve4j5LowkoZeQ1TeEI6sWtimJSTy6yhdTeSILe4i\np8Arr7zCZ599xptvvglISI9WE6H9aZTQe9ekolVKMOvlhGlCv0+JULX9fDwidXJeuyKZCJ2ca98r\no7jBQ4s7QE6sihGdjLywtp5l2yvwOZp54vHHcDqdrF69mtWrVyMIQpvys8jfE9H5OQV+dH6kjsbf\nOFKkesMnlCx5joadq4jsfC5x546n8w3PINeFIQT9yDXHjwoEA34K3nmAsq9ea/udpXALZV+/hrO6\nGJlaS/bkB4ntd1Fo3pZSg8faQMnn89qONyR3QhubRnhWb3z2JlwN5VR//1HbUFN3UzV75t1Aa/n+\n0DX9XgJeN8LR1nZNVBLRPUeQOno6kZ0H0FK8k+YDGwn6RJmD30LicyO4bWKxs0gb7777LllZWRQU\nFJzwmO+++4758+fz8ccf86++EXw7swNmw08F0Sq5lJ13dOKH/2Se1DWd3iBXvlPKC+vq2VLmYG2R\nnT1VTqZ/eIQv81t59MJ4hKNBHXdDOdXVNbzwwgtYLBZArFf7JyCmvU4Bk8lEbFwcFfY6fOSebnPO\naCI6n0vjvu+p/uEzNNFJaKKTUOiMpIy4jpbSfUgVSoIBP80HNhKW3i0U0QEQgvjddgJuR9ta+viO\nhGf3JaxDd4o/m4u7sYrcGS+QM+UxAm4nBe/cT0vxToo/e46MS/9D3fYVVK/7CGNaVxKH/ovK1e8g\nU+uQa/RkXn4vloObqFiz6KiC9BoicvoTkXPOTyrPQgBr4VYsBZuRq3VkTLwTwe8NaQCJ/Coyex0A\nOTk5p9kSkTOFXbt2UVxczN69e6msrDxmTlZFRQULFy5k3949JBmCXNHB2faaIAh8X2Kne6K2LQV2\nMtg9AXZUOFHLpbwxKZlz0vTkxqtx+YJ4/AIapZQbB0SRX+1ibI6e8FgnS1esYPLkyTgcDsaNG8fu\n3bvFtNffGNH5OUV69+pF3fKVuIUgiEMuT4g+PoPEQZOQSCSUfvUqfmcrWVc+SOlXr+K11qM2mQn4\nPBxZuYDo7sNIuuAqAKRyJV2mPYvH2oDf7UCu1qE0RpI25t8ARHY+F1d9BQgCCp0Jj7UebWw6zvoj\nKPXhAKjCYkL/jYjDnDcEAv4250oilRKRMwBDSmeKFj+Nu6kKIeBvU3gGqN38JT5HS9tMMIXWiER6\n8h+8/2RkrdWoVGpR2VmkjQULFhAVFcXzzz/P5s2bKS8vJzk5mYMHD5Kens7zzz/P3LlziY6M4JZz\ndChlP2l/fXvIxtT3j/CvPhHMuTD+uOsX1rlZV2xnSr9IFLKQs2I2KNj0nyzUCgkyqYSuCRrmfVfP\nc9/V8941qQD0TNYxbUA0Dy+v4fUrlPSISmDxRx8hkUhEp+cfgPjtfYr07NkTwe8VU18nQVTXQfgc\nrZh7DCdl5A20lOzGa61HoTehT8wkLK0rsf0uIrr7Be3O8ztbKVh4D4eXvtDu93Vbv8ZZV46zrpT9\nC+4k4HVjLdqJo7qItAunkTz8WgDCM3uScdldyFVaXE01NO5fT+Pe79qtVfbV67ibqlBHJhCe/Qsx\nPkEIzQCTKUgZOVV0fE4Bpa2GvLxu7TRcRP7Z3HLLLdx8883cc8899O7dm1dffZW1a9fSqVMnbrvt\nNmpqqklKiKehqZmnV1WxqTSk6/PAV9U8uaqO8d3CcHiDPL269rjrP7e2jse+qWXbkVC0+NbPKrns\nrcMoZBLOmXuISW+XUtrkIT5MTrxRwZ1Lq5jx0REAUiKUZJpVBIUgkZ5yUvQ+IiLCWbhwIUOHDmXw\n4J8ETsePH982ikPk7EeM/JwiPXr0QCqVIreU49WbT7c5ZzTO+nJqNy8lrGNPOoy7maDPi6VwC16b\nBSQSZEoN8eeOP6rP40GqUAEgU+sxZfVBF9demdlyaCuuhkoMKTm4Giqo+n4xiQMvJ6xDHoak7HbH\n1m39Clt5PjUblyDTGJAp1O1eN6Z1weuw0OHSW1HojBxZ/S6Wwq3kXPsYCQMvRxUew5FvFuJztm+l\nFTkxEncLuKz06tXrdJsicgbxyCOPABAMBrnmmmuoq6tj5syZDBw4kEOFhfj9Xmadq+euj0Mt7E+t\nruPzG/TU2/w0Ofw8NCqeQS8cIijAnUNjj1nfExCQAOFHi5/LLV4qLF6ONHuwuAIU1Lm44KUissxq\nqlp8GFRSvAEBpzdIoknBiGwjMxdXEhDg7avVfNOcwD13301lZSUqlartOgUFBXg8Yt3f3wXR+TlF\njEYjffr0YcuufXgTe4qprxPgttRSte4jdAkdMSSH6j+kCiXZVz1M0OdpVz9TsfodmvatJzL3fBKH\nTEYqk5N24Y3HrJkx/nYCHhcSuZzy5W9gSMpGqlAd4/gAeCw1gBRlWBQSmYz0sTPbvR7TezQxvUcD\noc60pvz1CH4vjqoiTJm9iOo6iPCsvkgVKgJeDzKl6phriLRH0VCEVCplyJAhp9sUkTMIu93O/Pnz\nmTRpEvn5+cjlchYtWsSGDRuIjTHz0qWx9IhWMv7Bzizb30qTw0edzcf8y5PwB6HS6uWLaenA8VNR\no3PCkCAhPiwkP/LRtWkEBAG5VMLM86LpHKfiy/xWeiRq6JWkZWyXMG75tILcJw7gD8KUvhGYNDIu\n627i3DQN3ZOsPLlbQjAlmSeffAq/38+yZcsYPHiwqPHzN0J0fn4Ho0ePZvPmzchaqgiYxGnfx8PT\nXIuj6hAQ6qYydw/Nw5GpNMhU7QuHFYYIJDIZjXvWYCvfjzG1C4kXXE3Q6253rFyjb6vD6XjZnb96\nfZlKi0IfRJeQgaVgE5ZD2zD3GHbcY/1uO0LAjzIsCv3PtIdkKg2Hv3iJ1rJ8Ok996qeibJFjEYKo\nm4vp06cPkZEnljEQ+efxySefcMcdd1BfX8/TTz/NV199xe23345MJmNQMvSI9lHb6uOi10sI18o4\nWOdha7mTVyYms3SfhduWVPHgyFhGdjLiCwhtdT0/cln3cC7pauLLfCuxRjnz1jXy4MhYcmI13Dk0\nVP9X0exjweYmalv9JIYrsLgC+IOQFa3iP4NjeHj0T/VEJpnAPd0tPLnbxPjx47FarVitViCk9XbH\nHccOSRY5+xCdn99B//79MRiN+BoKRefnBIR1yCP7mjlUb/gUU8dfT4PE9bsIv8NKw65v8TmseFoa\nqfp+MfU7VpI16X7UkQkc+uARhGCA2L5j283xcjdV01q+n+i8C9qmwjfuXYfX0YJUpsBeVQyCQOWa\n91BHJmBMObYLSR0eS+fr/4tCb0IqC90SbksdDbtWI9eFoQqPgV+M4RBpj8xaieB1cuGFF55uU0TO\nMCZMmEBjYyOTJk2ivLycxx57lPhYM//qrmFMtorSJg/1Nh8trgA2dwC5FCZ2N+H2BdlSFqrjKW7w\nMGDlIUZmG9hb7ebWIWYm5IVTafVy40dHiNLKWFvsICVcQbnFR36Nm5zY0IOT3RPgqdV1CBJQyGDh\n5ibkUth/byf0quPX84UpBe7tbuXSfa42x8dkMtG9e3c8Hk+7dJjI2YmYs/kdKBQKLh43DoX1CFKH\nKHh4IgS/j9bDe7CV5R/zmtdu5eCiR2jc9z0Asf3GkTBoEp1veBZ3cw1N+9ah1IdT/OkzNOd/j9fW\njLupmtqtX9FcsKltneqNS6hc8x72ykIglMI6smohAWcrHS+7A1OH7iCRIpGrqN+xEo+1nqDfR/PB\nzQS8LgAa96xl/xu3se/Vmzmy6m18ThuNe9bQsPMbNFGJaKIS2b/gTryt4t/6uAgCmppdmM0x9Osn\nTnIXaY9er+f222+ntraWG6dPY9OmzbhamnlieTmD5h3iwvklTP+wArdfID1Kxfe3ZPL+Diu9nznI\nqBwjo3OMTOoZTp9kLetL7FS1+Ki3+YGQivP+Gjc6lZRwrYxJPcP55t8ZTOwe3nb9u7+oRiGX8P/O\njyYhTEHfVB1DMkNRpF/DoBC4oUfoYUgulxMbG8vixYupqqr68zZL5C9DjPz8TiZOnMhnny3BX7UD\nV+bw3z7hH4guPoOOE+9CfVSN+edUr/8YZ00xVo2OqNzzkcjkqExm5BoduvgOCAE/Ud2GUPzJf/Ha\nmsmd8QKuhgoK33+Usq9ew2e3IghB4vpfjD6+I/rETOq2fY21eBeG5ByUhkjUEXEojREgBFGGRdF6\neDe2zN4IAR8Vq94mIuccAl43xtQuSJVqAm4njXvXYSncRsDjxJCai6OmDIUuDJXJ3FaQLdIeuaUM\niaOJqTffI3Z5iRyXZcuW8dxzc4nV+HlgVCIaeZCnV9fRMVpF/zQde6tclDZ5uHtYDAkmJcnhCmpa\nVPRNCTkqAIuvS2fIi4ewN3rpnawFoFuClm23ZxOhlSGVHr8mKD0y1NEVppZR1uzjvhFhzN/QyHnP\nH2LzbVnHRH88/iDBIGiUUmL0oa/I7qkRyMPDmTr1OuLixGHHfwdE5+d3YjAYuOqqybz22mvIbLUE\nDMd2IYjQVuz8S4xpubgaKkgcfCUANT8soWHXKpJHTAXA3GM4AZ8bhCA+ZytSmRxdbBqmjj2wFm6j\nZtMXBL0uzN2Hojmq0eOoLcVZW9rWrQVg/7HuyOtCIpVhyuyF4HXjbqoi4HHTUrwThT4cmUpL0O9F\nFxcaxumqL8dWtg+AlFHTSDh/4p+3SWczQhBN9S6SklMYOnTo6bZG5AzD6/XywgsvsGzZMnIjfMzs\nYkMrNwEwuVdoSrvNHeDBr2vYWOogyRQqWr5/xPEdjLuGxvLhTgspET/NVow66qB4/EFU8mOTGbcO\niWFsbhif7rayZGoaPZJ17KxwEq6VoT56/I4KJysPtGD3Bvm20IYAbLo1C51KxoIrkxmUYWBVlY8P\ni4uZOWMGjzz2GAkJCX/YPon89YjOz/+BSy65hI8Wf4xQsRV79hiQilnE3yLo8xD0+4jI7kfEz/R1\nIjsPACGIVKbAUrAJn8OKOjyWlNHT2jlQaRfOwDNgPAfeuguFPrxdNCZ19HT8jlbyX78VhT6M3Bvn\nkXDeZYSld0OfLMpaAgAAIABJREFU1AnB50GuVINSTdKQq3Bb6xECPvyOFnx2K6pwMwpdGEpDJI6q\nQ0ikMoRgAH2CKHV/IhR1BeCyMu2G25DJRD0kkZ+or6/nppn/5stlX3Fxz3gyJF4mvtnIfwbHcEFW\naLxNdYuXwS8WMSzLwNbbswjX/vpX0sAMPdUtPvzB9imrHRVOJr51mNsGm7F7BfqmahmQpmfOihq6\nJmjYWeFk0XYLb2xs5OsbM4jQypk3Phr50eLptzc38UV+CzIp6BRSMmNU1Ld6mbjwMJE6Odtuz2ZU\nsptEXYBXC8qYPu0G7r3vfs4555zjmSlyFiB+W/8fUKvV/GfWLUgcjShr951uc84Kij55hvw3Qi3r\nP0cbm0bS0GswdeyJOjoJd2MVjfu+JyytGzKFmiPfLKS1fD8SqRR1RCwpo6YRf95l+I+OwWgp3Uf1\n+k/wOaykXTSTmL4X4WqoQKEz0XxgIy1F21GGmQn6vG3XtJXuxXJwM+roJDrf8AyC34/fZcfceySJ\nQyYTd+4EwjJ6iF1eJ0DibkVTvYO+fftx7rnnnm5zRM4gNm7cyNTrplBaUoTb7aa0spZZn1Wyr8bN\ntA/LeWtTI25fEJ1SRpZZTaZZ/ZuOD8DqQhsPL6/h1Q0hkdmVBa08/k0tarmEKJ0cmyfIy+sbeP2H\nRpocfv63rZn3t1u4eaCZ0TlGRuYYWbLXymPf1PLlvpa2da/rH4FCBnqllCt7hbP9iIvLFpYRCIJZ\nL+eqd0vx+oPkRvqY3dNCpNTOvffeyyuvvILf7//T9lHkz0OM/PwfGThwIIMGDWLd9+vxhycT1IT/\n9kn/YPQJHfHZmzny7bukjZ6OIARx1pYRDPg4vPQFYvuMwdvSgNacStIFVyPX6LFVHKRx73c0HfiB\npCFX4WlpJLr7UPa/fiu6+AwSB19JyafPAOBtaSDtopnsfn4aMpWW7KsewlFdAjIlVes/Rq410vXG\n0BBUY4c8dAc3Y0jJQWWMpPMN/0VyVLfJ3EOs4/pVBAFt2QbUKiW3336bOA5ABAilud58800WL15M\niiFIj3gL23dBplmFRilFEATWFTuYvaKWcouXe4bFkJegwesPRXLcviBFDR5UcgmZ5vbCpFvLHWSZ\nVdwzLIbROaEHkie+qaW02cuQjjrcfoEv8luYPSqWIZkGnL4gMwZEcVWfCGKNCjQKKeUWL5fkmhjT\n2ciYLj891BQ1ePEFoCUQ5H9bm+mbokUmlVBhDUWZ9lS58PgFlHKI1gR5oIeFD4p1LF68mH179/Dg\nQw+LtUBnGaLz8wcwa9YsduzcSaBsA46sC8X016+QcP5ErIe203p4D0IwSMPub6lc8x7amDQCLjuO\n2sN0mTYXqULV1nZuSMrGlNkL25ECGvasxVVXRmSX8zBl9kYXl47tSAG6+Ax08RmhlneJlPgBlyJV\nqlEaI+kybS6Ne9ZgL9tL8GcRp8q1H+CoKqJm/acYrrgHiURK0O+l+JP/oo1JJ3HwpNO1TWc8ivoC\npLZabr7rLqKjo0+3OSJnAOXl5TwyZzbFJYe5IMHNpAwHhXVKeiRpGNfVRO9kHTUtPi5dcBiNXMKA\nNB0DnjtEoyMAwCXdTIx8pRhvQEAll/CvPpGck6bj2bV1XJZn4qGva8k0q1gxIwOpVMLhRg+lzV7k\nUvjXe0cYmKHH5RN4aHkt/iDsrnLxZX4LvVO0xIcpqbCGlJ/nratnb7Wbu4bFYjg6LHVIRz2X55n4\naLcVh0/ggZFxdIpRU93iw2yQ4/ELBIICCzc3MT7PhFEt419ZDjqF+3irsJCp101h1n9uZfhw8aHp\nbEF0fv4ATCYTt916Kw8//DCqqh14knqfbpPOaLImP4gQDCKRStEnZmJM60Zk1/OxHykkOm8ILSW7\niejUD1djJRWr38WU2Zug10PW5AeRSKR4WxtRh8eQNmYGXlszBxbeixAMkHXlA23XiOkzuu1nhc5I\nbL+LsBzahre1CZ+jBYUujJheo/A7WkgYeDmWwq3Yyg9g7j0KZ135MWk5kZ+QOhrRVG6jd9++jBw5\n8nSbI3KaEQSBL7/8kpdfehEFPmblttIj2gdAbryGJdf/NKam1R2gwe7n6t4RDM40kmhqpNHhQkIo\nvaRRSPAGBDrFqHh9YyN7qpzk17g5N91Hv1Qdm8ocfLDDgjcQ5OHltVzSNQwB+HxvCysP2nh8TBwC\nAr2StZzbQY9KBlMWHeG/Fyew6JpUnv62DpVMwsTu4SSHK8mvcfHCd/WsK7bj9gvMvSSBvEQNHaJC\nUafko4XVagW89H09//22nqAgMLV/FAB9zF7SDRbmFxh4/PHH2bJlC7NmzcJgMPylfwORU0cMUfxB\nDBo0iIsuughl7T7klvLTbc4Zje1IAUIg9OGoNaeQMf5Wwjv2IumCyTTsXk358texFu3A1ViFvbKQ\nlpLdtJbtw1lXjspkblcAXb7iTYJeF3HnXIyz7sT7LpFKMabkINfo2waV6hMyyLryfnRx6VR8+z8a\n966lZuMSlGFmXA0VeG3Nf+5GnI34PegOf0dEeDj33nOPmO76h2OxWLjv3nuZO3cuHfVOHuvd3Ob4\nHI+sGDU77sjmgRGxKGQSlk7rgEImQSKBZoefcbkmOseosThD0SCNQkK8UU6/VB0PjYpjRCcjfVK1\n1B3V+fEHBJ6/NJExnY1oFRLWH3bwzlWpKGQSXlxXz8COBuLCFOhVUrZXOHljYxMvrW9kQLqOdcU2\nLpxfQnmzlyi9nNE5Rtz+IC+sa6De5uORFTWsLvxptl//NB1jOhu5tJup3XuK0gS5J6+FS9OcrF3z\nLVOvm8KePXv+hN0W+SMRIz9/IDfddBMHCgooKd2ATROOoDaebpPOGHyOVhw1xcjUOkq/fAlTZm/S\nL7rpmOPU0clEdjkPY2oXZCot2ugklCYz7sYqtDEp+F12Sj6biymzNzG9RxHdfSiaqERqNn5O3dav\n6HbTKye0IXHwZBIHTw4JHfo8KI2hMQxCwE90j+E4qoqI7jaEYMCHp7kWpSECS+FWGnavIXX0NJSG\niD9tf84KBAFN2XqkXgdznn0Ck8n02+eI/G3ZsmULTzz+GA5bK5M7OhiW6OYEUjttHLF4kUog7OgQ\nUps7wC0Do3F6g3y+r4V3tzUjl4I/CH1TtGw47MAfhCZHgEEd1bx+RTIAN5wTiU4p5V99I5FIJLw8\nMZlxr5ew6mArVleA74rsLNvfyupCGwAPfFXDuem6Njt2Vro4N13P0CwD1/SJYGCGgXOfL2RVYSu+\nAOQlaHhzUxNrD9kYmhX6HJ/3XQPriu3MOC/6mOJsmRQuTnORG+FjfoHArFm3MGnSlVx33XXI5eLX\n7JmI+Ff5A1EqlTwyZw5Tr7+e4OHvsGePBqm4xQBV339E8/4NmLL7EtN3DIbkThS+/wgBn4ew9DwS\nzptA+TcLadr7HaqIOGSqkIiZOjI0c+dHRyXgceCsP4JMo8eYmoshqROWg1sIz+qLLi4NCIXhTxSR\nEIQgBe8+gEylJXf6cwA05q+nZsMnxJ87AX1iJm5LHbrY0Fr2qiLsFQW4Gir+8c6PojYfueUIM2bO\npHPnzqfbHJHThMfj4fXXX+fTTz8lSR/kjl6tJOkDJ3XuhfOLUcok7LizEx/ttHDn0iruHhrDXcNi\nsXsCpEQo6Z+q5X/bmvEHBQrq3Nx1QQzj89o3kjyyopYle1vYVeliYIaeVneAwR31lFu8PLumjodH\nxaFXSXh4eS1BAXD7WbK3hVGdjETpZQzLMhKmkbHgypS2NQek6li2v4VAUGBXpQu5FLJj1Vzxdika\nhZT/d340vZK1ZP+iEPvndAjz80ivZhYV6Xj//ffZsWM7DzzwIImJxwq9ipxexLTXH0xcXBz333cf\nEmcT6tIfxJlQR4nsPAAkMqyHduCzW9FGp+BqrMLdWIX10DYArIe2IVVqiB8wvt25tVu/Yu/LMyn5\nfB6t5QfQRCdhqzjIoQ8fw9NSj+XgZgS/l+i8C/DaLex9eSYVq989rh0SiZSo3EEIfh/Fnz4LgDE1\nl8jc8wnr2BNvaxMH3rqbw1+8hN/tIHHg5UT3HEHJkuewVRz8czfpDEbWUom6ajvnnz+QCRMmnG5z\nRE4TZWVlzJg+nU8//ZThiS4e6mk5accH4OreEW3ihnpl6AFl4ZZG7J4AepWMi7uaiDEq+XRPC/N/\naGLBpBT8QuiBxh8QqLR4+d/WJrYfcaJXSfn2kI0nV9XyzJp63trciMUZYPFOCx/utPCvvlE8c3EC\nMim4/TCyk4E5F8Zxde9Ixr1Rwud7rTi9QTYctiMIAi3uAHavgCDAyoOt3HBOFEMy9RyocVHT4qV3\nio6bB5rbtIFOhFoOUzs5+H9dbFQePsQN109lxYoVv3/TRf4UxLDEn8A555zD1OuuY8GCBQS14Xjj\nup5uk047huQccqY8xqGPniDgtiPXGsi98Tn8LjsyRehJqtO/HkUilaLQmXDWltJalk9M71GowkKj\nJVqKdyJVqHDWlRLdYxhKQyRacwrZV89GrtHjsdaFusQUKiQnGEUR8HqI6jYIa/FO3E1VeFubUIVF\nkXJUWTro92LK7IXHUkf+/FmkjbuZoM+DOjIBhfafmcaUuFvQHV5HSmoad999l1jn8w9EEARWrFjB\n88/NRSXxcVvXVrpFnbi250RkRKt4/Js6Xl7fwIfXptE9UcOuShcXvVbCgA56alp8FDd66JWkITsm\nnFuXVFBh9ZNgVPDWliY2lTowaaW0OIPIpGBUSbF7gwC4/QLX9Yvgf9ssWF0hh2x8XjjfF9v5fF8L\nNncAs0HBzgonZU1eCmpdHKh189oPjbx6eRIzzovG4xdYU2QnGAw9t763zYLNE2TBpGQCQQHZb+X1\nfkZvs5d0o4XXCww8+eST7Ny5k1mzZqHVak9530T+eCTCWRyZ6NWrl7B9+/bTbcZxEQSB2bNn8913\n3+HsOOwfPf3dUVtKzQ9LSBh4OerIuDYtnV/j8NIXsRZtJ3nE9fhsTYTn9Mdvb0EX3wG/04ZC377e\npGjxU9gqC+ky7VmU+vYh8tbSfch1YWjNyaF1i3dg7jWS+m3LSRw8GXPPY9tTazYtpbV0L0gkOKqK\n6HTtY2iOM6Psb4/fi+HgMgyKIK+/9pqoZfIPxOVyMXfuXFatWkWncD8zcloxqU7te+Pfi49wsM5N\nTqyaL/NDRcTX9Yvkrc2hYcHDsgysPmQjSifD5gni9glkx6g4WOcBYM7oOArr3Sw/0MolXcPoGK3m\n7i+rAbiqVzirClsJBEO1QjF6GdMGRGP3Brm2byQub5A7l1Zxfoae0TlGJrx1mAO1HuLDFLwyMYl3\ntzZz97AY9te4SYtUEghCaoQCuUzKBzuaMRvkPPFNHRIJrJp56mrvQQE+L9WwtExLUlIiD8+eQ3p6\n+imvI/LbSCSSHYIg9DqZY8XIz5+ERCLhrrvu4khFBaWl67BnjyGo+WcWiNorC2kt3YMpsxeaqJ/m\n4XhtzUgVKuRq3THnxJ8/kbAOebSW78dSsAldXAeMabkAxx0wGpbRA5lGT/225RiScwjrkAeECq2L\nP30WdUQcOdc9gTEtFyHoJ6bXKLQxqZg69DiuzXH9xxHXfxyOmhKctaWoI/+Bc3yEIJrD3yH12Hjk\niWdFx+cfSFVVFQ/cdx+lZWVcnOrk4jTXbxY1/5I6m49vC224/QIPjYylV5KOh5bXIAjw5Nh4Osdp\n6JqgYW+VC7NehlEj48v8VrQKCTd/WsnQTAMdopSM6GRkc5mDwnoPD4yMo6jBzWd7rHSIVhGujeCL\nfCvVLX58QSlPrq7D4vRzVa8I3tvezAVZegZ3NHK4ycuBWg8GlZSR2QZa3QFMGinXvlfGgVoPfVK0\nfHxdOi5vkPuWVfLhTivjcsOIMyqwugNMfb+cRy6MIz5M+dtv/ChSCVya7iLb5GN+AcyYcSN33XU3\nQ4YMOcW/hsgfiej8/IloNBqeePxxbpg2HaHkW2zZY0D+z5sMbu4xHH1CJtqjRcTW4p3INQaKP34a\ndVQC2Vc93O54V2MV1uKdWA9tJabPGIwpnTGkhAps63euonLNIjqMv5WwtK4/u8YwjCmdObDwHlyN\nlW3OT/2OFYBAeE5/AKK6DiKq6yCAdrPFToQurgPqyAQcVUXoEzP/jztxdqGq2I68pZJb/vMf8vLy\nTrc5In8xW7Zs4ZE5sxG8Tm7v1kpu5KmnuQDuWlqF2y9w77AYBnY0YnFZSTIpiA+TcVn3cOQyCY+t\nrGFdsZ2Pr0tHq5RxeY9wvP4ge+7uRFmTl7GvlzCykxGFTIJSLkUikeD0CVhcQVYVtLKxzEm2WcUn\n16Xx7Jp6BnfUEx+mwOkL8ujKWiSAQV3DMxcnMiBNy+NjE5BKJZz3/CHCtTKcngCxBjl6VSgqvabI\nxoc7raRGKLm6TwS9k3WMe6OE1YU2RuUYmZB38s7Pj+RE+JnTq5kX88OYM2cOBw8eZNq0aWI32Gni\nrNx1iUQyFhibkZFxuk35TWJiYnj8sUe5ZdYstCVrcHYc8Y9RgLZXHqIp/3vsNSXE9h6NLi4dr62Z\nw5/PQxOTQlhGd9QR8cecd2TV2zh+No39R2cFQGkIR2WKRq45VkRMHRlPxoQ7UIXHtv1Oa05BHZWI\nEPAjCEF8jhakMgVyjb7duYXvP4Kz/gidr3uyrbPsR6rXf0zDrtV0GH9bO4fr74y84RDKunwuvvhi\nxo0bd7rNEfkLEQSBTz/9lJdffokkfZCbe7Vg1gR/11of7mhm+xEneQmaNn2c0iYPFVYfj31Tzwvr\nGpmQZ2LRdgvegMAT39SQGK7kpvPNjHvjMC2uAKtmZnBV7wiGZhkY3PGn+94fFJBJwekL2XbP8FgK\nat18X2Jna7mDMI0MpzeIUS2l1R0k06zmk11N/FDqZM6KWt6clMwtA6PpEqema4KWka8U0eoOrdU3\nJVSX4w0ESTwa5clL0FBU7+GctGMj1SeLSSVwT3cri4pCozHKSkt56OGH0el+/5oiv4+z0vkRBOFL\n4MtevXrdcLptORm6dOnCnXfcwRNPPIHqyGY8Kf3hH1A02rD7WywHNwMSPNY6AJSGCBIGXoFEKkOf\nmIU2JuWY8+IHXIKjppTwTv1RGdu3l5s69sLU8cQpXWNql3b/Ds/uS9OBjdRuWoohpTMln81FaYgg\nZ8oTbcc4qotxVBcD4Hc7jnF+TB174XfZ0ZpTT+Xtn7XIbLVojmykR48e3HTTsVpMIn9f/H4/L7/8\nMkuWLKFntJcbc2yoZL9/vSqrD7snyO4qF6+sb6RnshabOyRQKJWAzRPkq/2teAMCI7L1fJHfilYp\nJS9RS7xRgd3tZ8KCUhZMTm6XatpUauf+EbHcOywWtz/I4SYv56brEQSB3AQNH++y4PYF+XCnlXCN\njK23ZdHo8DNmfgkquYRovRypVMLlPcLZW+0i1qigT4qOVYU28qudpEepSY1QYPcEOff5QtbenIlO\nKSMvQU3ESQxg/TXkUvhXloNkvZ93tm/j/900kyefehqz2fx/Wlfk1DgrnZ+zkREjRlBWVsYHH3xA\nUGPCF5Pz2yed5SQOmkR4dl/0iVnIVFqsJbuQawyYe41k97wbkCnUdJ350jHnGZJz2qk4+xxW6rat\nILr7Bdgri/DamojrNxZL4TYadq0idfT0YxyWn5Nw3mWEpXdDptGji8to0wP6EXVUIqasPujiMtCa\nk49jTycMyZ3+Dztx9iDx2NCVrCEuLo7Zs2eLIfl/EB6Ph9mzZ7Nx40ZGJbu4vIPzlOt7fkmrJ4AA\nDMzQseGwjbe2NBGjD3lTQzMN5CVqONTgZuNhB+tLHHx2fTr5NW4mv1NGrEFOrc0P+Lnp4wpijQpe\nmZjMGxsbeXRlLRd2NnL/iFjiw5TEhyn5an8LW8oc3D8iltmjQxHlWYPMNDsCxBgVfHOwBYkUPH6B\n7UccbCt38Px3dWw47OSz6xW0ugMEhZAAoicAZc0+JECXeDXhGhk/HLazu8rFuNdLWPk7Cp9/yeAE\nD9GaIC/uL2fGjdN55tm5pKWl/faJIn8I4ifbX8j1119PWXk5mzZtIqgOIxD29y6iVehNmDJCBcUB\nr5vDS+ahDIuiyw3PkHDeRKRyxUmtYz20nfrty5GpNNRsWgrBAJGdB+CoLsZeWYi3tamd82Mp3EbV\nug8xZfVBG5MKQFS3wRx6/xEcNSWE5/THZ7e2dYzJlGrSx878Y9/82UjAh674WzRKGU89+aQ4n+gf\nhNPp5L777mXXrt1ck2lnaKLnD1l3av8oYg0KTFopd39RA4BOJUPmCHBZ93DWldj5fG8rvRI1pEap\nyI5RE2tUcFl3E0X1nqPOD5Q3e6lu8bGjwsmjK2tJCJP/f/bOOzqqcuvDz5leM5PeC2kQIBQB6V1R\nFLBh14u9gKAo2D87CogF+1XwqtfeEMErINKkSC+hpvc+mSTT6/n+GIwiIFEhCTjPWlkrc+Y9590z\nK5n5nffde//4375mcmudrLwrkIv30bYGNhTaSDDKeWt9HTa3yEU9DHy2o5EBKRoO1bjw+SHeICO/\n3s3Ed4tQyQPq7oPN9eiUUoamaSmod/HS6lqmDY9kX5WTH3MtbCuzM3VYJDd/UorLe/IqpLuHefi/\n3mbm7hG5e9pUnp/3Ap07dz5p1w9yfIKl7m2M3W5n8uQplJRXYskah6gytHdIpwxnQzUyta4lv6Z+\nzxrkWiO6xCwq1n2GQh9GTP9xxzy3evN3WEr2knrx3QiCBPOhLRgz+lC1aTGuplrSLpqG6Pfhbm5A\nafzVVdxWXUTN1u9pPLQZAKlKi89pI/3y+/F7XDQV7MSUsw5jRl9SL5p61Lyiz4u9tgRtbNpRz53R\niH7U+atQNJczd+5c+vZtVbVokDMAm83GzJkzOHjgALd2sTA41n3S53B6/Fz9XhE7ygOGwdmxKnKq\nnCy4OpFbPilDKoFN93ZmR5md87NCEASBXnMOtHh8fTIphR7xanx+eOx/lZzTWc9r6+o4WOPiq5tT\n6Zuk4d2f6/lgSwNFpl/jT4tQICCQX/+rmJvQ3YBWIeHL3WY8PtDIwe4BpUzAqJZisnnx+mHpbWkU\nNbiY/UMND5wTxTubTFzSw9hianoyqbFLmLvbiA01c5+fR/fu3U98UpCjCJa6d2A0Gg3PPfcst91+\nB2L+yjO2Asxja+bAew+jiU2l89WPArQkLjcc2ET9rh8BCO3cD6Ux+qjzbVX5WCvy8LnsKPRhhHcf\nAkDCiKtaxggS6RHCB6BizcdYy3PpfN2TuBprEL0enA2V6OLSkciVhCR3R6pQEZJ6ZPWSva6U2m3L\nkWn01G79npQL7yAsa+BJez86Oory7cgaS5l6991B4fMPwul08tCDD3DowAGmdLPQL+rkCh9RFLls\nYRGhGilvXpnE/YvLWZtvo6LRRaROxt4qJz3iVLi8fi5+u5DKZg8fTUphSKqO969LZleFg2X7mrn6\n/WJem5jA+GwjWdEqpn1ZTlyIHIkAemVg9ebT7WaKTG7UcoGzk7VsLbVTUO/m+YviKKh3kxqh4L3N\nDQxO1XJVnzAO1Dg5UOPE7hGJCZHRYPNSY/GSaJRT1uihweHF6xepOLzidKDaSZ/Eky8MAaI1fh7p\n3cjs3XD/zBm8PP8VMjP/WdWlbU1Q/LQDsbGxzHrmaaZPn46mYDX2jDFnXAWYTKUhtMuAlvL232JM\n70PkWWOQ64zHFD4AncZNxudyINce3VW5fPXHuJtNdJowBUGQ4Pd5adi/kfIfPyRm0ARCswahjUlB\nG5Ny1LkSuYKEkde2PHZbGhD9fhpzt9Gwbz0x/SdgSOuFJubXJmQeWyMylQ5Bemb+u8jq81BW5zBh\nwgQuueSS9g4nSBvhdrv5v/97lJy9e7mz68kXPr9gsnnxiyIxIXKmDI1ibX4RDQ4RmcTLnkonBrWU\n9QVORCA5VM5ZCRrW5Vu4d1EFz18cj/RwwvWnO8yMzzayKteCQiowPF1HRbOHlPDAzeOCa5J446d6\nxnc3MPuHQHn7zQPCOC/LgEEtxeL08dmORmosXkw2L3EGGVOGJpBT6eSVdXUopQJZ0UoePS+avVVO\nBqZokUsFksOU9IxTc8+I6BZD1lNBmMrPAz0bmbVTYMZ99zL/lVeDOUCnkDPz0/w0oEePHsyYMYM5\nc+agLPsZV/Kg9g7ppCJIZaRccNsxn5PIFSSOuvaYz4k+L0gkSGRyJDI5bqsZucaA8BtxaCk7iLu5\nHtHnRZApKP7uLRrztoEoUrt9BRmXP9DqOA99/DQ+l4OMqx5CHZmEMf2sI+ZyNlSz/72HCesy4Liv\n53RGaqlBU7KRnr17M23atPYOJ0gbIYoi8+bNY+vWbdzcxcqA6FMjfARBYPXUjJbi1v4pWjpHKcmr\nc/HuNUn0T9GxdF8TMXo5Y7uFsKPUjl8Usbr9mGxebC4/iUY5EmBHmZ19VQ7cPpEQtZTpI6OotXpR\nyiSUNrjJq3dz++AIvthpZk+lk2i9lFGdQ1i0p5Ele5u4+iwjuyrsuL1+ZBL4334LxSYPi25NZU+l\nHZlUQk6lgyaHn0lnh6OQSbC5fCQa5cikAia7lxDVqRM/AOEqPw/0NDNrFzxw/0ze+vfbhIX9sw2V\nTxVB8dOOjB07lpKSEj799FP8qjOrAizv8zn43I6jGhgeC0d9BTVb/0f02ReS/8UclKGxZF75IJUb\nv6F64yJUEQkoQ6PxWMx4rGY6X/c4EqkciSxQ+qqJTsZlrgaJDEdNEW6LCYlMTuHiV4nqex7h3YYc\nd+7wbkNxW+o59N/HMWb0JTTzyC0fmVqHLi4NbeyZ144+UNn1IzExMTwVrOz6R/Hxxx+zYsUKLu1k\nZ3jcyUluPhbljW7mrqzh1kERZMepAVgxJYNlB5q575tKXrs8kYm9QpnYK5SHvq3g4+1mBEE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1MkWi8jSi/H4vRRZHITZ5Bjc/l5alkl728xo5RCZbMXrVzA6xdxePysmRYwEX3yglju+bqc51bW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\nY8v8Vuddf1y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      "text/plain": [
       "<Figure size 744.048x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FJS3LIiUlhQsXLth9J06cSG5urk/yVFdXx5w5c5QUichtQcmSyDCwfft2jh49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      "text/plain": [
       "<Figure size 671.674x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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HDQCNCTUANCbUANCYUANAY0INAI0JNQA0JtQA0JhQA0BjQg0AjQk1ADQm1ADQmFADQGNC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\nagBoTKgBoDGhBoDG/j+fMs3/CUnZwwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9FUk+MLf83iSV5K8kOTGtf3iSz01/PmxafthBz28aWyV56LR8TpIT09ivTfL8af2bkrx0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\nQmCC\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Quality control - calculate QC covariates\n",
    "adata.obs['n_counts'] = adata.X.sum(1)\n",
    "adata.obs['log_counts'] = np.log(adata.obs['n_counts'])\n",
    "adata.obs['n_genes'] = (adata.X > 0).sum(1)\n",
    "\n",
    "# Quality control - plot QC metrics\n",
    "#Sample quality plots\n",
    "t1 = sc.pl.violin(adata, 'n_counts', groupby='sample', size=2, log=True, cut=0)\n",
    "\n",
    "p1 = sc.pl.scatter(adata, 'n_counts', 'n_genes')\n",
    "\n",
    "p3 = sb.distplot(adata.obs['n_genes'], kde=False)\n",
    "plt.show()\n",
    "\n",
    "p3 = sb.distplot(adata.obs['n_counts'], kde=False)\n",
    "plt.show()\n",
    "\n",
    "p4 = sb.distplot(adata.obs['n_counts'][adata.obs['n_counts']<4000], kde=False, bins=60)\n",
    "plt.show()\n",
    "\n",
    "p5 = sb.distplot(adata.obs['n_counts'][adata.obs['n_counts']>10000], kde=False, bins=60)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The two samples likely have different qualities given the differing numbers of counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p6 = sb.distplot(adata.obs['n_genes'], kde=False, bins=60)\n",
    "plt.show()\n",
    "\n",
    "p7 = sb.distplot(adata.obs['n_genes'][adata.obs['n_genes']<3000], kde=False, bins=60)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Based on the above plots we determine QC thresholds which are used to filter the cells and genes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total number of cells: 3442\n",
      "Number of cells after min count filter: 3392\n",
      "Number of cells after max count filter: 3382\n",
      "Number of cells after gene filter: 3381\n"
     ]
    }
   ],
   "source": [
    "##### filter 1500 genes, 3300 counts, 60k counts\n",
    "#Filter cells according to identified QC thresholds:\n",
    "print('Total number of cells: {:d}'.format(adata.n_obs))\n",
    "\n",
    "sc.pp.filter_cells(adata, min_counts = 3300)\n",
    "print('Number of cells after min count filter: {:d}'.format(adata.n_obs))\n",
    "\n",
    "sc.pp.filter_cells(adata, max_counts = 60000)\n",
    "print('Number of cells after max count filter: {:d}'.format(adata.n_obs))\n",
    "\n",
    "sc.pp.filter_cells(adata, min_genes = 1500)\n",
    "print('Number of cells after gene filter: {:d}'.format(adata.n_obs))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total number of genes: 24175\n",
      "Number of genes after cell filter: 23932\n"
     ]
    }
   ],
   "source": [
    "#Filter genes:\n",
    "print('Total number of genes: {:d}'.format(adata.n_vars))\n",
    "\n",
    "# Min 20 cells - filters out 0 count genes\n",
    "sc.pp.filter_genes(adata, min_cells=20)\n",
    "print('Number of genes after cell filter: {:d}'.format(adata.n_vars))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Testing denoising"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we keep two copies of the data so that we can use one copy as a control and one copy is used with expression recovery/denoising by DCA."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Keep a copy of the raw data\n",
    "adata_raw = adata.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "adata_raw.obs['dropout'] = (adata_raw.X > 0).mean(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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wnrYd6jHGp5L81dMs/1yS5+xkKABggyuTAUBjQg0AjQk1ADQm1ADQmFADQGNCDQCNCTUA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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sb.distplot(adata_raw.obs['dropout'], kde=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are quite high dropout rates across the cells. These rates are likely different between batches given the count distributions visualized above."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now perform expression recovery via DCA on one of the AnnData objects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DCA: Successfully preprocessed 23932 genes and 3381 cells.\n",
      "Calculating low dimensional representations...\n",
      "Calculating reconstructions...\n"
     ]
    }
   ],
   "source": [
    "sc.pp.dca(adata_raw, normalize_per_cell=False, scale=False, log1p=False, batchnorm=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.7661904 , 1.3999181 , 0.85281116, 0.46276832, 1.8568145 ],\n",
       "       [0.851972  , 1.6442616 , 0.9327502 , 0.47749278, 2.05012   ],\n",
       "       [0.86273754, 1.6805096 , 0.94411486, 0.4753037 , 2.1211357 ],\n",
       "       [0.6603831 , 1.1061972 , 0.7480817 , 0.45665464, 1.4887584 ],\n",
       "       [0.519737  , 0.7477863 , 0.60171497, 0.46342713, 0.9461427 ]],\n",
       "      dtype=float32)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "adata_raw.X[:5,:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "As we can see, DCA denoising generates imputed data which is no longer count-like.\n",
    "\n",
    "We calculate coefficients of variation on the gene expression data before and after denoising via dca."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gene_cov = adata.X.std(0)/adata.X.mean(0)\n",
    "gene_cov_dn = adata_raw.X.std(0)/adata_raw.X.mean(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Calculate the difference in coefficient of variation after and before denoising per gene\n",
    "gene_cov_dn_diff = gene_cov_dn - gene_cov"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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1/A3287Akj62qR3f3RzcpH8yW0IbV/jjJX8zmAbSZw+vW32y7R5I8MtOx2VPe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\nA8AghDYADEJoA8AghDYADEJoA8Ag/n+jKISmlBSvFgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f1 = sb.distplot(gene_cov_dn_diff, kde=False)\n",
    "f1.set_yscale('log')\n",
    "f1.tick_params(labelsize=12)\n",
    "f1.set_xlabel('CoV change',fontsize=20)\n",
    "fig = f1.get_figure()\n",
    "#fig.savefig('figures/klein_data_cov_change_denoising.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Testing batch correction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before testing batch correction we follow the best-practices workflow and use scran normalization, so that our results are not affected by lack of accounting for sampling depths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Perform a clustering for scran normalization in clusters\n",
    "adata_pp = adata.copy()\n",
    "sc.pp.normalize_per_cell(adata_pp, counts_per_cell_after=1e6)\n",
    "sc.pp.log1p(adata_pp)\n",
    "sc.pp.pca(adata_pp, n_comps=15)\n",
    "sc.pp.neighbors(adata_pp)\n",
    "sc.tl.louvain(adata_pp, key_added='groups', resolution=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Preprocess variables for scran normalization\n",
    "input_groups = adata_pp.obs['groups']\n",
    "data_mat = adata.X.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: scran\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: BiocParallel\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: SingleCellExperiment\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: SummarizedExperiment\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: GenomicRanges\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: stats4\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: BiocGenerics\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: parallel\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: \n",
      "Attaching package: ‘BiocGenerics’\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: The following objects are masked from ‘package:parallel’:\n",
      "\n",
      "    clusterApply, clusterApplyLB, clusterCall, clusterEvalQ,\n",
      "    clusterExport, clusterMap, parApply, parCapply, parLapply,\n",
      "    parLapplyLB, parRapply, parSapply, parSapplyLB\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    IQR, mad, sd, var, xtabs\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: The following objects are masked from ‘package:base’:\n",
      "\n",
      "    anyDuplicated, append, as.data.frame, cbind, colMeans, colnames,\n",
      "    colSums, do.call, duplicated, eval, evalq, Filter, Find, get, grep,\n",
      "    grepl, intersect, is.unsorted, lapply, lengths, Map, mapply, match,\n",
      "    mget, order, paste, pmax, pmax.int, pmin, pmin.int, Position, rank,\n",
      "    rbind, Reduce, rowMeans, rownames, rowSums, sapply, setdiff, sort,\n",
      "    table, tapply, union, unique, unsplit, which, which.max, which.min\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: S4Vectors\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: \n",
      "Attaching package: ‘S4Vectors’\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: The following object is masked from ‘package:base’:\n",
      "\n",
      "    expand.grid\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: IRanges\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: GenomeInfoDb\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: Biobase\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Welcome to Bioconductor\n",
      "\n",
      "    Vignettes contain introductory material; view with\n",
      "    'browseVignettes()'. To cite Bioconductor, see\n",
      "    'citation(\"Biobase\")', and for packages 'citation(\"pkgname\")'.\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: DelayedArray\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: Loading required package: matrixStats\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: \n",
      "Attaching package: ‘matrixStats’\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: The following objects are masked from ‘package:Biobase’:\n",
      "\n",
      "    anyMissing, rowMedians\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: \n",
      "Attaching package: ‘DelayedArray’\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: The following objects are masked from ‘package:matrixStats’:\n",
      "\n",
      "    colMaxs, colMins, colRanges, rowMaxs, rowMins, rowRanges\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n",
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/rpy2/rinterface/__init__.py:145: RRuntimeWarning: The following object is masked from ‘package:base’:\n",
      "\n",
      "    apply\n",
      "\n",
      "\n",
      "  warnings.warn(x, RRuntimeWarning)\n"
     ]
    }
   ],
   "source": [
    "%%R -i data_mat -i input_groups -o size_factors\n",
    "require(scran)\n",
    "\n",
    "size_factors = computeSumFactors(data_mat, clusters=input_groups, min.mean=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "adata.obs['size_factors'] = size_factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Normalize adata \n",
    "adata.X /= adata.obs['size_factors'].values[:,None]\n",
    "sc.pp.log1p(adata)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we again keep a copy of the non-batch-corrected data in the `adata.raw` field which we use to compare to batch corrected data later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Store the full data set in log CPM+1 for visualization and statistical testing\n",
    "adata.raw = adata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Calculate CoV post normalization\n",
    "gene_cov_pn = adata.X.std(0)/adata.X.mean(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Visualization\n",
    "sc.pp.pca(adata)\n",
    "sc.pp.neighbors(adata)\n",
    "sc.tl.umap(adata)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WKJH49yyTtu1vl2j83COw4CWpsnfLz460Qjv1esqygE8IhDWGFteBm4eKvaIo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D3ioV+wR6b7pV0pY31VqFBxQaK0roVHfzmMzQZHixTDnfoW8390vvJ6I19uzSYtypcJ3aXsGeJ9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\nA8zgG4ZhGEYY8P+nVDPW0AQKEwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sc.pl.umap(adata, color='sample')#, save=\"_klein_sample_prebc_umap.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A large batch effect can be seen in the above plot pre-batch-correction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "found 2 batches\n",
      "found 0 numerical covariates...\n",
      "found 0 categorical variables:\t\n",
      "Standardizing Data across genes.\n",
      "Fitting L/S model and finding priors\n",
      "Finding parametric adjustments\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adjusting data\n"
     ]
    }
   ],
   "source": [
    "# ComBat batch correction\n",
    "data = pd.DataFrame(adata.X)\n",
    "batch = pd.Series(adata.obs['sample'])\n",
    "batch = batch.reset_index()\n",
    "data_cor = c.combat(data=data.T, batch=batch['sample'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Apply the ComBat correction\n",
    "adata.X = data_cor.T.values\n",
    "del data_cor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Visualization\n",
    "sc.pp.pca(adata)\n",
    "sc.pp.neighbors(adata)\n",
    "sc.tl.umap(adata)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Lz5Yyw6JSw8h+YvAbdwCfhvb9VrwCh5fLo9OllSsBjBpiV8Lb9Tv0n+pwN8Mw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sLc9m74zr1KqyOvTHTn9Spn09y8UgmDXpL+cZ95pjtkX4A18yTLK8mUUvPjp+H6UVRlWagUMMbx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ehtY3XQEt2mkgPhE8p5rEoNjP57k55u4vVynMvm7HrzmeuY0N1GwFAqWUnmXxJP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\nNTHlVXoRdJ/F51eWiVPl3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1LAmoSYrsbiQCWl0MxsS6cpnq9xH/1DF93Z+jkw6FW2zdVo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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sc.pl.umap(adata, color='sample')#, save=\"_klein_sample_postbc_umap.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The batch effect has largely been removed for by ComBat. The cellular transcriptomes now overlap as expected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Calculate CoV post batch correction\n",
    "gene_cov_pbc = adata.X.std(0)/adata.X.mean(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Calculate difference in CoV pre- and post-batch-correction\n",
    "gene_cov_diff = gene_cov_pbc - gene_cov_pn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    23932.000000\n",
       "mean        -0.012637\n",
       "std          0.028877\n",
       "min         -1.711074\n",
       "25%         -0.012393\n",
       "50%         -0.005473\n",
       "75%         -0.001701\n",
       "max          0.002332\n",
       "dtype: float64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.Series(gene_cov_diff).describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/malte.luecken/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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ngOOAKyLirKkWEhFr68Pvm++5x6/AJUmayqDnaS8GHuwqmwD2m/whM1+zp4Vk5npgPcCq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\ntiRJhTC0JUkqhKEtSVIh/j/TYewshBd8WAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f1 = sb.distplot(gene_cov_diff, kde=False)\n",
    "f1.set_yscale('log')\n",
    "f1.tick_params(labelsize=12)\n",
    "f1.set_xlabel('CoV change',fontsize=20)\n",
    "fig = f1.get_figure()\n",
    "#fig.savefig('figures/klein_data_cov_change_batch_correction.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pd.DataFrame({'dn':gene_cov_dn_diff, 'bc':gene_cov_diff}).to_csv('klein_cov_diffs.csv')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
